Skip to main content
SpringerLink
Log in

Remarks about the interpretation of impulse experiments in shear flows of viscoelastic liquids

Rheologica Acta volume 22, pages 528–538 (1983)Cite this article

Abstract

The effect of inertia in three popular impulse experiments in shear flows of viscoelastic liquids is considered. Dynamics of the flow is used to evaluate the stress observables such as the shear stress and the first normal stress difference at the walls. In particular we find that for many linear viscoelastic models with slowly fading memory, the difference between experimental observables and a theory based on the assumption of ignorable inertia could be quite substantial.

This is a preview of subscription content, access via your institution.

Access options

Buy single article

Instant access to the full article PDF.

39,95 €

Price includes VAT (Finland)

References

  1. Bird, R. B., R. C. Armstrong, O. Hassager, Dynamics of Polymeric Liquids, Vol. I, John Wiley (New York 1977).

    Google Scholar 

  2. Böhme, G., Strömungsmechanik Nicht-Newtonscher Fluide, B. G. Teubner (Stuttgart 1981).

    Google Scholar 

  3. Buchen, P. W., Mainardi, J. de Mécanique14, 597 – 608 (1975).

  4. Christensen, R. N., Theory of Viscoelasticity — An Introduction, Academic Press (New York and London 1971).

    Google Scholar 

  5. Coleman, B. D., M. E. Gurtin, Arch. Rational Mech. Anal.19 239–265 (1965).

    Google Scholar 

  6. Coleman, B. D., H. Markovitz, J. Polym. Sci.12 2195–2207 (1974).

    Google Scholar 

  7. Denn, M. M., K. C. Porteous, Chem. Engng. J. (2), 280–286 (1971).

    Google Scholar 

  8. Huppler, J. D., I. F. MacDonald, E. Ashare, T. W. Spriggs, R. B. Bird, L. A. Holmes, Trans Soc. Rheology11 181–204 (1967).

    Google Scholar 

  9. Kazakia, J. Y., R. S. Rivlin, Rheol. Acta20 111–127 (1981).

    Google Scholar 

  10. Kee, D. D., P. J. Carreau, J. Non-Newtonian Fluid Mech.6 127–143 (1979).

    Google Scholar 

  11. Meissner, J., J. Appl. Polym. Sci.16 2877–2899 (1972).

    Google Scholar 

  12. Narain, A., D. D. Joseph, Rheol. Acta21 228–250 (1982).

    Google Scholar 

  13. Narain, A., D. D. Joseph: Classification of Linear Viscoelastic Solids Based on a Failure Criterion. To appear in J. Elasticity (1984).

  14. Narain, A., D. D. Joseph: Linearized Dynamics of Shearing Motion Perturbing the State of Rest of Simple Materials. To appear in Conference on Differential Equations, Equadiff, Wurgburg (1983).

  15. Renardy, M., Rheol. Acta21 251–254 (1982).

    Google Scholar 

  16. Renardy, M.: On the Domain Space for Constructive Laws in Linear Viscoelasticity (to appear).

  17. Saut, J. C., D. D. Joseph, Arch. Rational Mech. Anal.81 53–95 (1983).

    Google Scholar 

  18. Tanner, R. I., ZAMP13 573 (1962).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering and Engineering Mechanics, Michigan Technological University, 49931, Houghton, MI, USA

    A. Narain

  2. Department of Aerospace Engineering and Mechanics, University of Minnesota, 107 Akerman Hall 110 Union Street S.E., 55455, Minneapolis, MN, USA

    D. D. Joseph

Authors
  1. A. Narain
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. D. Joseph
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Narain, A., Joseph, D.D. Remarks about the interpretation of impulse experiments in shear flows of viscoelastic liquids. Rheol Acta 22, 528–538 (1983). https://doi.org/10.1007/BF01351399

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01351399

Key words

  • Step jump
  • first normal-stress difference
  • reflecting shock waves
  • relaxation function

Search

Navigation